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Finding the Fourth Proportional to 282.13, 422.91 and 190.84

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Solution

The fourth proportional to 282.13, 422.91 and 190.84 is: 286.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.13 : 422.91 = 190.84 : x
  2. Step 2: Convert to fraction form
    282.13/422.91 = 190.84/x
  3. Step 3: Cross multiply
    282.13x = 422.91 × 190.84
  4. Step 4: Simplify right side
    282.13x = 80,708.14
  5. Step 5: Solve for x
    x = 80,708.14/282.13
  6. Step 6: Final answer
    x = 286.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.